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Finding the Fourth Proportional to 330.63, 456.21 and 199.68

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Solution

The fourth proportional to 330.63, 456.21 and 199.68 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.63 : 456.21 = 199.68 : x
  2. Step 2: Convert to fraction form
    330.63/456.21 = 199.68/x
  3. Step 3: Cross multiply
    330.63x = 456.21 × 199.68
  4. Step 4: Simplify right side
    330.63x = 91,096.01
  5. Step 5: Solve for x
    x = 91,096.01/330.63
  6. Step 6: Final answer
    x = 275.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.